Answer:
The cost of 5 bags of popcorn and 2 sodas is 14.25 units.
Step-by-step explanation:
We are given the following in the question:
Let x units be the cost of a popcorn bag and y units be cost of soda.
The cost of 4 bags of popcorn and 3 sodas is 13.50.
Thus, we can write the equation:

The cost of 2 bags of popcorn and 5 sodas is 12.00
Thus, we can write the equation:

Solving the two equations, we get,

Thus, the cost of popcorn bag is 2.25 units and the cost of a soda is 1.5 units.
Cost of 5 bags and 2 sodas
=
Thus, cost of 5 bags of popcorn and 2 sodas is 14.25 units.